Quantum cohomology as a deformation of symplectic cohomology
Matthew Strom Borman, Nick Sheridan, Umut Varolgunes
Abstract
Abstract We prove that under certain conditions, the quantum cohomology of a positively monotone compact symplectic manifold is a deformation of the symplectic cohomology of the complement of a simple crossings symplectic divisor. We also prove rigidity results for the skeleton of the divisor complement.
Topics & Concepts
MathematicsSymplectic geometryQuantum cohomologyPure mathematicsDivisor (algebraic geometry)Symplectic manifoldCohomologyDe Rham cohomologyGroup cohomologyČech cohomologyComplement (music)Equivariant cohomologyGeneChemistryComplementationBiochemistryPhenotypeAlgebraic Geometry and Number TheoryGeometric and Algebraic TopologyGeometry and complex manifolds